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Finding the Fourth Proportional to 322,693.27, 483,874.67 and 189,613.51

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Solution

The fourth proportional to 322,693.27, 483,874.67 and 189,613.51 is: 284,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,693.27 : 483,874.67 = 189,613.51 : x
  2. Step 2: Convert to fraction form
    322,693.27/483,874.67 = 189,613.51/x
  3. Step 3: Cross multiply
    322,693.27x = 483,874.67 × 189,613.51
  4. Step 4: Simplify right side
    322,693.27x = 91,749,175,314.44
  5. Step 5: Solve for x
    x = 91,749,175,314.44/322,693.27
  6. Step 6: Final answer
    x = 284,323.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.